1. Introduction. 2. Linear Algebra. 3. Linear Systems. 4. H2 and Ha Spaces. 5. Internal Stability. 6. Performance Specifications and Limitations. 7. Balanced Model Reduction. 8. Uncertainty and Robustness. 9. Linear Fractional Transformation. 10. m and m- Synthesis. 11. Controller Parameterization. 12. Algebraic Riccati Equations. 13. H2 Optimal Control. 14. Ha Control. 15. Controller Reduction. 16. Ha Loop Shaping. 17. Gap Metric and ...u- Gap Metric. 18. Miscellaneous Topics. Bibliography. Index.

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Essentials of Robust Control

This book, written by two major figures in adaptive control, provides a wealth of material for researchers, practitioners, and students. While some researchers in adaptive control may note the absence of a particular topic, the book‘s scope represents a high-gain instrument. It can be used by designers of control systems to enhance their work through the information on many new theoretical developments, and can be used by mathematical control theory specialists to adapt their research to practical needs. The book is strongly recommended to anyone interested in adaptive control.

Adaptive Control

Linear Robust Control

This paper studies a number of quantized feedback design problems for linear systems. We consider the case where quantizers are static (memoryless). The common aim of these design problems is to stabilize the given system or to achieve certain performance with the coarsest quantization density. Our main discovery is that the classical sector bound approach is nonconservative for studying these design problems. Consequently, we are able to convert many quantized feedback design problems to well-known robust control problems with sector bound uncertainties. In particular, we derive the coarsest quantization densities for stabilization for multiple-input-multiple-output systems in both state feedback and output feedback cases; and we also derive conditions for quantized feedback control for quadratic cost and H/sub /spl infin// performances.

The sector bound approach to quantized feedback control | NOVA. The University of Newcastle's Digital Repository

A lifting technique for linear periodic systems with applications to sampled-data control

Robust Decentralized Control Approach to The Multi Area Frequency Control Problem of Power Systems

Deals with H/sub /spl infin// control problems in which some of the weighting functions possibly have j/spl omega/ poles. Such a problem naturally arises when one deals with robust servo system designs with an H/sub /spl infin//-norm criterion. Special attention is paid to the class of the controllers which have the same j/spl omega/ poles that the weighting functions have, namely, the controllers equipped with internal models. It is shown that the: existence conditions of a controller solving the problem and the controller formulas are very similar to the well-known case where all the weighting functions are assumed to be stable: The existence conditions involve two game-type algebraic Riccati equations (ARE), and a parameterization of the controllers is given by a linear fractional transformation (LFT) on a free stable contraction. The only difference is that the solution involves quasi-stabilizing solutions of game-type ARE's whose definition is given in this paper. >

H/sub /spl infin// control with unstable weighting functions. A design method of H/sub /spl infin// robust servo systems

Operational drilling parameters optimization is necessary for increase drilling efficiency in complex geological drilling process. There are four key objectives to evaluate the drilling efficiency, including drilling cost, rate of penetration (ROP), drill bit life, and drill bit's specific energy. In this paper, we proposed a multi-objective optimization method to improve drilling efficiency in the complex geological drilling process considering all the four key objectives. Firstly, the characteristics of complex geological drilling process and optimization problems are analyzed to find the vital process parameters and problems for drilling efficiency optimization. Then, a multi-objective optimization model which combines the four key objectives is established. Finally, an improved nondominated sorting genetic algorithm (improved NSGA-II) is used to optimize the operational drilling parameters include weight on bit (WOB) and rotational speed (RS) to make drilling efficiency improved. The real case results demonstrate that our method increases the drilling efficiency in four key objectives and saves the simulation time. The proposed method provides the foundation for intelligent optimization control in complex geological drilling process.

To Improve Drilling Efficiency by Multi-objective Optimization of Operational Drilling Parameters in the Complex Geological Drilling Process

The standard four block H/sup infinity / control problem of discrete-time systems is solved by using a J-lossless embedding approach. It is shown that the four block H/sup infinity / control problem of discrete-time systems has a solution if the solutions of two discrete Riccati equations are positive-semidefinite and the spectral radius of their product is less than the prescribed norm bound. However, as the reflection of the discrete-time character, an additional condition is required for the solvability of discrete-time H/sup infinity / control problems. The parametrization of all H/sup infinity / controllers is derived. The approach is direct and the conventional model-matching formulation is bypassed. The conventional assumption on discrete-time systems that the A-matrix be nonsingular is avoided by using the descriptor form. Any unnecessary assumption on B/sub 1/, C/sub 1/ is lifted by a spectrum decomposition argument. >

Complete solution to the standard H/sup infinity / control problem of discrete-time systems

Wind power generation provides an attractive method for tackling global environmental issues. However, the power grid cannot accommodate large amount of wind farms (WFs) because the fluctuation of WF output degrades the power quality (frequency and voltage) in the power grid. Technical requirements that are related to WF power fluctuation are issued in many countries in order to introduce the WF without degrading power quality. Therefore, it is essential to smooth the WF output in order to satisfy the technical requirements. This paper proposes an operation methodology for a system that is composed of energy storage systems (ESSs) and WF by kinetic energy (KE) control. Moreover, an optimal KE control is presented. The economical aspect and the advantage of the proposed system are verified through scenario simulations.

Kang-Zhi Liu

Papers

Robust Decentralized Control Approach to The Multi Area Frequency Control Problem of Power Systems

H/sub /spl infin// control with unstable weighting functions. A design method of H/sub /spl infin// robust servo systems

To Improve Drilling Efficiency by Multi-objective Optimization of Operational Drilling Parameters in the Complex Geological Drilling Process

Complete solution to the standard H/sup infinity / control problem of discrete-time systems

Novel Cost Reduction Method for Wind Farms Associated with Energy Storage Systems by Optimal Kinetic Energy Control